Finding the Third Proportional to 408,500 and 599,016

Step by Step Solution

1. Step 1: Write the proportion equation
   408,500 : 599,016 = 599,016 : x
2. Step 2: Convert to fraction form
   408,500/599,016 = 599,016/x
3. Step 3: Cross multiply
   408,500x = 599,016 × 599,016
4. Step 4: Simplify right side
   408,500x = 358,820,168,256
5. Step 5: Solve for x
   x = 358,820,168,256/408,500
6. Step 6: Final answer
   x = 878,384.74